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Finding the Fourth Proportional to 22,297.10, 33,249.13 and 22,097.24

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Solution

The fourth proportional to 22,297.10, 33,249.13 and 22,097.24 is: 32,951.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.10 : 33,249.13 = 22,097.24 : x
  2. Step 2: Convert to fraction form
    22,297.10/33,249.13 = 22,097.24/x
  3. Step 3: Cross multiply
    22,297.10x = 33,249.13 × 22,097.24
  4. Step 4: Simplify right side
    22,297.10x = 734,714,005.40
  5. Step 5: Solve for x
    x = 734,714,005.40/22,297.10
  6. Step 6: Final answer
    x = 32,951.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.